2 papers
math.NT2025
Counting newforms with prescribed ramified supercuspidal components
Andrew Knightly, Kimball Martin
We give a formula for the number of newforms in that have prescribed ramified supercuspidal components at a set of primes dividing . This dime…
math.NT2025
Counting locally supercuspidal newforms
Andrew Knightly
The trace formula is a versatile tool for computing sums of spectral data across families of automorphic forms. Using specialized test functions, one can treat small families with…